The probability that the chosen integer is a perfect square or a perfect cube but not both is therefore 13/100.
When choosing an integer from 1 to 100, there are 10 perfect squares (1² to 10²) and 4 perfect cubes (1³ to 4³). However, the number 1 is both a perfect square and a perfect cube. To avoid counting it twice, we use the formula for the union of two sets: |A∪B| = |A| + |B| - |A∩B|. In this case, |A∪B| represents the number of integers that are either a perfect square or a perfect cube. Plugging in the values, we get |A∪B| = 10 + 4 - 1 = 13. The probability is therefore 13/100.
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determine the equation of the circle with center (5,5) containing the point (0,-2)
The equation of the circle with center (5,5) containing the point (0,-2) is [tex](x - 5)^2 + (y - 5)^2 = 74[/tex]
What is the equation of the circle?The standard equation of a circle is given by: (x-h)2 + (y-k)2 = r2 Where (h,k) is the coordinates of center of the circle and r is the radius.
To determine the equation of the circle, we need to find the radius first. Since the center of the circle is (5,5), we can use the distance formula to find the distance between the center and the given point (0,-2):
[tex]distance = \sqrt{[(x2 - x1)^2 + (y2 - y1)^2]}\\distance = \sqrt{[(0 - 5)^2 + (-2 - 5)^2]}\\distance = \sqrt{[(-5)^2 + (-7)^2]}\\distance = \sqrt{[25 + 49]}\\distance = \sqrt{[74]}[/tex]
Therefore, the radius of the circle is sqrt[74].
Now, we can use the standard form of the equation of a circle to find the equation of the circle:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
where (h,k) is the center of the circle, and r is the radius.
Plugging in the values we have:
[tex](x - 5)^2 + (y - 5)^2 = (\sqrt{[74]})^2[/tex]
Simplifying the equation:
[tex](x - 5)^2 + (y - 5)^2 = 74[/tex]
Therefore, the equation of the circle with center (5,5) containing the point (0,-2) is [tex](x - 5)^2 + (y - 5)^2 = 74.[/tex]
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Is it a function yes or no
Answer:
Step-by-step explanation:
im assuming your saying number 3 which is yes
what is the quadratic equation of y=(x+4)²+3
Answer:
y = x^2 + 8x + 19
Step-by-step explanation:
y=(x+4)²+3
First expand the parentheses:
y = x^2 + 4x + 4x + 16 + 3
y = x^2 + 8x + 19
If a cyclist completes a ride in four hours and 15 minutes with an average
speed of 23 km/h, what distance did he cover? just the answer please
Answer:
covered distance = 97.75 kilometers
Step-by-step explanation:
It's known that:
[tex]speed = \frac{distance}{time}[/tex]
Hence,
[tex]distance = speed\times time[/tex] (*)
Given That:
time = 4.25 hours
speed = 23 km/h
then, by substituting in (*):
[tex]distance = 23 \times 4.25 = 97.75 kilometers[/tex]
hope you find this easy to understand....
Have any questions? Write in the comments.
give me brainliest if you found this answer useful
PLEASE help Will give brainliest
The recursive and explicit formulae of the given arithmetic expression are:
Recursive formular = [tex]a_{n+1} = a_{n-5}[/tex]
Explicit formular is Tn = 68 - 53n
Explain explicit formulas and recursive formulas.You can determine the value of any term in a series using an explicit formula. A subset of integers are the natural numbers, which are 1, 2, 3, 4, etc. If you know the value of the (n-1)th term in a series and have access to its recursive formula, you can use it to determine the value of the nth term. The primary distinction between recursive and explicit formulas is that the former provides the value of a particular phrase based on the preceding term, while the latter provides the value of a particular term based on the position.
Given:
a1 = 63
a2 = 67 = 63 - 5 = a1 - 5
Recursive formular = [tex]a_{n+1} = a_{n-5}[/tex]
a = 63, d = -5
F(11) = a + (n - 1)d = 63 + (n - 1)-5 = 63 - 5n + 5 = 68 - 53n
Explicit formular is Tn = 68 - 53n
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when examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal compression from a vertical compression?
A horizontal compression is identified by a factor inside the function, affecting the input variable, while a vertical compression is identified by a factor outside the function, affecting the output variable.
When examining the formula of a function that is the result of multiple transformations, a horizontal compression can be identified by a factor that appears inside the function, affecting the input variable (typically x). For example, if the original function is f(x) and the horizontal compression is by a factor of 2, the function would be written as f(x/2), indicating that the input values are being compressed horizontally.
On the other hand, vertical compression can be identified by a factor that appears outside the function, affecting the output variable (typically y). For example, if the original function is f(x) and the vertical compression is by a factor of 1/2, the function would be written as (1/2)f(x), indicating that the output values are being compressed vertically.
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This camera was on sale for 20% off.
If Alex paid $220, what was the full original price?
Answer: The full price was 275
draw up a frequency table where you tally five different reasons for taking a gap year
In the frequency table, we can see that the most common reason for taking a gap year is travel, with a frequency of 5.
To draw up a frequency table for the given question, we can use the following : List down the reasons:
List down the five different reasons for taking a gap year.
Count the frequency of each reason:
Tally the number of times each reason appears in the data.
Let's say we have the following data:
Reasons for taking a gap year:
Travel Work Experience Family Medical Total Tally
the number of times each reason appears in the data:
Reasons for taking a gap year Tally Frequency Travel Work Experience Family Medical Total
Draw the frequency table:
Draw the frequency table by filling in the tally and frequency columns.
The final frequency table should look like this:
Frequency Table Reasons for taking a gap year Tally Frequency Travel [tex]||||5Work|||3Experience||||4Family||2Medical|1|2| Total5 3 4 2 2 16[/tex]
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Which is the missing reason in the proof below?
Statements Reasons
∠BAC ≅ ∠DAC Given
AB ≅ AD Give
AC ≅ AC
ΔABC ≅ ΔCDA SAS
Which of these actions will cause the expression's value to increase?
1/3A-B^2
Keeping AAAA constant and increasing BBBB
(Choice B) Keeping AAAA constant and decreasing BBBB
B
Keeping AAAA constant and decreasing BBBB
(Choice C) Increasing AAAA and keeping BBBB constant
C
Increasing A and keeping B constant
(Choice D) Decreasing A and keeping B constant
To increase the value of the expression 1/3A-B^2, increasing A and keeping B constant will cause the expression's value to increase.
This is because the expression has a linear term of A and a quadratic term of B^2. Increasing A will result in a larger linear term, which will increase the value of the expression. None of the other options will necessarily increase the value of the expression. Keeping AAAA constant and decreasing BBBB or decreasing A and keeping B constant will both cause the value of the expression to decrease while keeping AAAA constant and increasing BBBB will only increase the quadratic term of the expression and may or may not result in an overall increase depending on the values of A and B.
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Draw the image of triangle△ABC under a dilation whose center is C and scale factor is 2
The original triangle ABC is down below.
PLEASE HELP
To draw the image of triangle △ABC under a dilation with center C and scale factor 2, we need to draw the original triangle, draw lines from C to each vertex,
To draw the image of triangle △ABC under a dilation with center C and a scale factor of 2, we need to follow a few steps. Firstly, we need to draw the original triangle △ABC. Then, we need to draw a straight line from the center of dilation C to each vertex of the triangle. These lines will act as our guides for where the new vertices will be located.
Next, we need to use the scale factor of 2 to determine the distance between the original vertices and the new vertices. This means that we need to multiply the distance between each vertex and the center of dilation by 2. We can then plot the new vertices along the lines we drew in the previous step.
Finally, we can connect the new vertices to form the image of the triangle under the dilation. This image will be twice as large as the original triangle and will be located in the same direction as the lines we drew from the center of dilation to each vertex.
use the scale factor to determine the new vertex locations, and finally connect the new vertices to form the image.
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Help me answer this plss
Answer:
155.5 square feet
Step-by-step explanation:
A = (1/2)(10)(8.6 + 6.3 + 8.6 + 7.6)
= 5(31.1)
= 155.5 square feet
Question 4(Multiple Choice Worth 2 points)
(Experimental Probability MC)
Louis rolled a fair six-sided die and recorded the number that was facing up on the die. He continued this for a total of 100 rolls. The table shows the frequency of each number rolled.
Outcome 1 2 3 4 5 6
Frequency 17 20 14 18 16 15
Based on the table, what is the experimental probability that the number rolled was even?
53 over 100
47 over 100
5 over 12
1 over 2
The experimental probability that the number rolled was even is 53 over 100.
In a die 2, 4 and 6 are even numbers so sum of there frequency are possible outcome.
Frequency of 2 4 and 6 are 20,18 and 15 respectively.
Possible outcome = 20+18+15 = 53
Total outcome is sum of all frequency, total outcome = 17+20+14+18+16+15 = 100
P(even) = 53/100
Therefore the experimental probability that the number rolled was even is 53 over 100.
The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.
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all of the permutations of the digits 1, 3, 5, 7 and 9 are listed in numerical order from 13,579 to 97,531. what is the 100th permutation in the list?
The 100th permutation in the list is 75931, which starts with the digit 7 and is the 4th permutation starting with 7.
To find the 100th permutation, we can use the formula for the total number of permutations of n distinct objects, which is n! (n factorial).
In this case, there are 5 digits, so there are 5! = 120 permutations in total. Since the permutations are listed in numerical order, we can divide the total number of permutations by 5 to find the number of permutations starting with each digit.
120 ÷ 5 = 24
This tells us that there are 24 permutations starting with each digit. To find the 100th permutation, we need to determine which digit it starts with. We can do this by dividing 100 by 24 and taking the quotient and remainder:
100 ÷ 24 = 4 with a remainder of 4
This tells us that the 100th permutation starts with the fourth digit in the sequence: 7. We now need to find the 4th permutation starting with 7. To do this, we can list all the permutations starting with 7 in numerical order:
7 _ _ _ _ (4! = 24 permutations)
7 1 _ _ _
7 3 _ _ _
7 5 _ _ _
7 9 _ _ _
The 4th permutation starting with 7 is 75_9_, which is the 100th permutation in the list.
Therefore, the 100th permutation in the list is 75931.
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Use the graph to answer the question. Graph of polygon ABCD with vertices at negative 1 comma negative 1, 1 comma negative 5, 5 comma negative 5, 3 comma negative 1. A second polygon A prime B prime C prime D prime with vertices at 4 comma negative 1, 6 comma negative 5, 10 comma negative 5, 8 comma negative 1. Determine the translation used to create the image. 5 units to the right 1 unit to the right 5 units to the left 1 unit to the left
The polygon is translated five units to the right.
Define translation?A translation does not alter the appearance of a shape; it merely shifts it up, down, or from side to side. A metamorphosis serves as an example of translation. A transformation is a method for changing a shape's size or placement. At each location, the shape is translated in the same direction by the same amount.
The polygon ABCD's vertices are provided to us as A (-1, -1); B (1, -5); C (5, -5) and D (3, -1)
Also, the vertices of second polygon A'B'C'D' are given as A' (4, -1); B' (6, -5); C' (10, -5) and D' (8, -1).
It is evident that neither polygon's y coordinates have changed.
A 5 increment is made to the x-coordinates.
The translation rule in use is therefore (x, y) → (x + 5, y)
As a result, the polygon is translated 5 units to the right.
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The complete question is:
Graph of polygon ABCD with vertices at negative 1 comma negative 1, 1 comma negative 5, 5 comma negative 5, 3 comma negative 1.
A second polygon A' B' C' D' with vertices at 4 comma negative 1, 6 comma negative 5, 10 comma negative 5, 8 comma negative 1.
Determine the translation used to create the image.
1. 5 units to the right
2. 1 unit to the right
3. 5 units to the left
4. 1 unit to the left
the revenue from selling items is , and the total cost is . write a function that gives the total profit earned, and find the quantity which maximizes the profit.
Solving for q will give us the optimal quantity that maximizes the profit, a function that gives the total profit earned can be written as:
Profit(q) = (Revenue per item - Cost per item) * q
Assuming that the revenue and cost are functions of the quantity sold (q), the total profit can be calculated as follows:
Profit(q) = Revenue(q) - Cost(q)
To find the quantity which maximizes the profit, we can take the derivative of the profit function with respect to q and set it equal to zero, and then solve for q:
Profit'(q) = Revenue'(q) - Cost'(q) = 0
Solving for q will give us the quantity that maximizes the profit. However, without knowing the specific forms of the revenue and cost functions, we cannot write a specific profit function or find the quantity that maximizes the profit.
In general, the profit function can be written as:
Profit(q) = (Revenue per item - Cost per item) * q
where the revenue per item and cost per item are functions of q. To find the quantity that maximizes the profit, we need to differentiate the profit function with respect to q and set it equal to zero:
Profit'(q) = Revenue'(q) - Cost'(q) = 0
Solving for q will give us the optimal quantity that maximizes the profit.
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Melissa knows that
h
(
1
)
=
23
and
h
(
a
)
=
34
.
25
meters.
What is a reasonable estimate of the average rate of change of the height of the rocket, in meters per second, between
a
and
b
seconds? Explain your reasoning.
Answer:
put 23
and be my freind pleas i only have 2
CAN SOMEONE PLEASE HELP!!!!
A family is filling up a circular pool. The pool has a depth of 6 feet and a diameter of 10 feet. If there are approximately 7.48 gallons of water in a cubic foot, how many gallons of water will it take to fill up the pool completely? Use π = 3.14 and round to the nearest gallon.
63 gallons
471 gallons
1,409 gallons
3,523 gallons
3,523 gallons
The weather forecast is shown. What is the
difference between the median high
temperature and median low temperature?
Sun Mon Tues Weds Thurs Fri Sun
High 84°F 90°F 82°F 79°F 83°F 92°F 82°F
Low 56°F 63°F 60°F
52°F
60°F
61°F 53°F
The difference between the median high temperature and median low temperature is 22.5°F
The median of the data:The data set has an odd number of values, the median is the middle value when the data is arranged in numerical order.
Hence Median of the data is given by
Median = value at position (n + 1) / 2,
where n is the number of data points.
Here we have
The weather forecast is shown.
High 84°F 90°F 82°F 79°F 83°F 92°F 82°F
Low 56°F 63°F 60°F 52°F 60°F 61°F 53°F
To find the difference between the median high temperature and the median low temperature, Calculate the median temperatures for both high and low temperatures.
To find the median, we need to first arrange the temperatures in ascending order
For the high temperatures, we have:
79°F, 82°F, 82°F, 83°F, 84°F, 90°F, 92°F
Here median = 4th term [ Since the number of terms 7 is an odd number ]
The median of high temparature = 83°F
For the low temperatures, we have:
52°F, 53°F, 56°F, 60°F, 60°F, 61°F, 63°F
Here median = 4th term [ Since the number of terms 7 is an odd number ]
The median of low temparature = 60°F
The difference between the median high temperature and median low temperature is:
83°F - 60.5°F = 22.5°F
Therefore,
The difference between the median high temperature and median low temperature is 22.5°F
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(Best Answer gets BrainLiest)
Find the missing value in the table.
The missing value is [??]
Answer:
20
Step-by-step explanation:
You can find this answer multiple ways.
One way is that each y value increases by 5 so following the pattern of 5, 10, 15 the next one would be 20.
Another way is that the the x value is 3 times the y value so we would just have to divide 60 by 3 to get 20.
Answer: 20
Step-by-step explanation:
y is a result of dividing x by 3
15/3 = 5
30/3 = 10
...
60/3 = 20
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (-6, 6). What is the vertex of the function defined as g(x) = f(= - 2)?
y=f(x) has vertex (-4,6)
g(x)=-f(x-2) shifts the graph 2 units to the right, not to the left, and the graph is reflected over the x-axis
therefore the vertex is (-2,6) and the reflection over the x-axis has no affect on the vertex
Is this dilation a reduction or an enlargement
As, the scale factor is less than 1 . So, the dilation is the reduction for the image of triangle ABC.
Explain about the dilation:How very much larger (as well as smaller) any item becomes following the transformation is indicated by the dilation factor.
The object doubles in size, for instance, if the dilation factor is 2. In other words, every one of its side lengths are doubled.The converted object is half its original size if the dilation factor is equal to 1. In particular, all of its side lengths would be cut in half.Given data:
A'B'C' is the dilation of triangle ABC.
Scale factor = 1/2 = 0.5
As, the scale factor is less than 1 . So, the dilation is the reduction for the image of triangle ABC
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Convert 75 inches ______yard
Answer:
2.083 yards
Step-by-step explanation:
1 inch ≈ 0.0278 yard
75 inches ≈ 2.083 yards
So, 75 inches is about 2.083 yards.
Answer:
75/36 or 2.083
Step-by-step explanation:
We know that there are 36 inches in a yard so just take 75 inches and divide by 36 and you get 2.083
Use ≈ 3.14 and round your answer to the nearest hundredth. 10 m 14 m square meters
The area of a rectangle is 140.00 square meters.
What is a rectangle?
A rectangle is a 2-dimensional geometric shape with four sides, where each interior angle is a right angle (90 degrees). It is a special case of a parallelogram, where opposite sides are equal in length and parallel to each other.
I assume you are looking for the area of a rectangle with sides 10 m and 14 m, rounded to the nearest hundredth using the approximation π ≈ 3.14.
The area of a rectangle is given by the formula A = lw, where l and w are the length and width of the rectangle, respectively. In this case, l = 14 m and w = 10 m, so:
A = lw = (14 m)(10 m) = 140 m²
Rounding 140 to the nearest hundredth gives 140.00, so the final answer is:
140.00 square meters.
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Full question:
What is the area of a rectangle with sides of length 10 meters and 14 meters, rounded to the nearest hundredth using the approximation π ≈ 3.14?
I NEED HELP ASAPPPPPP
Answer:
0.0399148483 is the answer
Answer:
Your answer is 0.0399
Step-by-step explanation:
working together, it takes two computers 15 minutes to send out a company's email. if it takes the slower computer 35 minutes to do the job on its own, how long will it take the faster computer to do the job on its own? do not do any rounding.
It would take the faster computer 525/20 minutes to do the job on its own.
Let the rate of the faster computer be F and the rate of the slower computer be S. Since they can complete the job together in 15 minutes, we have:
F + S = 1/15
We also know that the slower computer takes 35 minutes to do the job on its own, so:
S = 1/35
Now, we can substitute the value of S into the first equation to solve for F:
F + 1/35 = 1/15
F = 1/15 - 1/35
F = (35 - 15) / (15 * 35)
F = 20 / 525
Therefore, the rate of the faster computer is 20/525. To find how long it takes the faster computer to do the job on its own, we take the reciprocal of this rate:
Time = 1/F = 525/20
So, it would take the faster computer 525/20 minutes to do the job on its own.
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If a family deposits $500 at the beginning of the first year into a bank account that pays 7% annual interest, how much will the family have in the account at the end of 15 years (Hint: $500 is a0, think about a1 as the value of the account at the end of the 1st year.)
the answer is 13,444.03 its given to us i just need the work to show how i can get the answer
The family will have approximately $13,444.03 in the account at the end of 15 years.
To find the value of the account at the end of 15 years, we'll use the formula for compound interest, which is:
A = P * (1 + r)^n
Where A is the final amount,
P is the principal amount (the initial deposit),
r is the annual interest rate (as a decimal), and n is the number of years.
In this case, P = $500,
r = 7% (0.07),
and n = 15.
Step 1: Convert the interest rate to a decimal:
7% = 0.07
Step 2: Add 1 to the interest rate: 1 + 0.07 = 1.07
Step 3: Raise the result from Step 2 to the power of the number of years:
[tex](1.07)^15[/tex]≈ 2.7591
Step 4: Multiply the principal amount by the result from Step 3:
$500 * 2.7591 ≈ $1377.55.
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It’s due tdddd help
Answer:
-46
Step-by-step explanation:
-7×-7= 49
3-49= -46
-46 is the answer
The daily high temperatures in degrees Fahrenheit in Allentown, PA, for a period of 10 days are shown below. 76 80 89 96 98 100 98 91 89 82 Which statement correctly describes the data?
A the median value is 98
B the upper quartile value is 96
C the lower quartile vlue is 76
d the interquartile range is 16
Answer:
the only correct statement is B: the upper quartile value is 96.
Step-by-step explanation:
First, let's put the temperatures in order: 76, 80, 82, 89, 89, 91, 96, 98, 98, 100.
A. To find the median, we need to find the middle value in the ordered set of data. Since there are an even number of values, we take the average of the two middle values. The two middle values are 89 and 91, so the median is (89+91)/2 = 90. Therefore, statement A is false.
B. To find the upper quartile, we need to find the value that separates the highest 25% of the data from the rest. Since there are 10 values, the upper quartile is the 7th value when the data is ordered. The 7th value is 96, so statement B is true.
C. To find the lower quartile, we need to find the value that separates the lowest 25% of the data from the rest. Since there are 10 values, the lower quartile is the 3rd value when the data is ordered. The 3rd value is 82, so statement C is false.
D. The interquartile range is the difference between the upper quartile and the lower quartile. From our previous calculations, we know that the upper quartile is 96 and the lower quartile is 82. Therefore, the interquartile range is 96-82 = 14. Statement D is false.
Therefore, the only correct statement is B: the upper quartile value is 96.
MANY POINTS
Proving When a Parallelogram Is a Rectangle
Given: WXYZ is a parallelogram.
ZX = WY
Prove: WXYZ is a rectangle.
The prove that a WXYZ is a parallelogram and WXYZ is a rectangle is given based on the image attached.
What is the proves?To be able to prove that the parallelogram WXYZ is a rectangle, one need to show that it has all the properties of a rectangle. An example of the properties of a rectangle is that it is one that has four right angles.
Hence
From the question, WXYZ is a parallelogram, and ZX = WY.
So to Prove: WXYZ is a rectangle
WZ ≅ XY (opposite sides property)YZ ≅ WX (opposite sides property)<WZY ≅ <ZWX ≅ <WXY ≅ <XYZ = (angle property of a rectangle)<YZW ≅ <WXY (opposite angles are congruent)ΔZYW ≅ ΔXTW (Side-Angle-Side property)ZX ≅ WYTherefore, based on the properties listed above, one can prove that the parallelogram is a rectangle.
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